Math 155 – Spring 2002 WORKSHEET 4
NAME: Section:
1. Using the definition of the derivative f0(x) = lim
h→0
f(x+h)−f(x)
h,
(a) find f0(x) for f(x) = √3x+ 1
(b) find f0(x) for f(x) = 1
x2
−1
2. The height y(t) in feet after tseconds of a ball thrown vertically upward is given by
y(t) = −16t2+ 160t+ 25. Find the maximum height reached by the ball and the time
it takes to reach that height.
